Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104bp |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
-993372761751552 = -1 · 219 · 36 · 7 · 135 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -5 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3195,1517994] |
[a1,a2,a3,a4,a6] |
Generators |
[13:1216:1] |
Generators of the group modulo torsion |
j |
-1207949625/332678528 |
j-invariant |
L |
4.1894545422674 |
L(r)(E,1)/r! |
Ω |
0.40218153369471 |
Real period |
R |
2.6042061800925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1638s1 52416fc1 1456f1 91728ez1 |
Quadratic twists by: -4 8 -3 -7 |